How do you divide #1/16 \div 3/ 4#?

1 Answer
Mar 7, 2018

#1/12#

Explanation:

When the division symbol is given with fractions, we always reciprocal one of the fractions. that is either the first fraction or the second. Reciprocal means inverting the fraction; writing the numerator as the denominator and the denominator as the numerator. Here i will reciprocal the second fraction. Also note that when we reciprocal fractions the division symbol is converted to the multiplication symbol.

Then our equation can be rearranged as:

#1/16*4/3#

now we can cut 4 and 16; 4 times 4 is 16 therefore 4 will be remaining in the denominator of the first fraction while 1 will be remaining in the numerator of the second fraction:

#1/4*1/3#

now multiply the 2 denominators then your answer will be

#1/12#